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The probability that a randomly selected American
household owns at least one dog is 43%. The probability that
the household owns at least one cat is 31%. The probability that
the household owns either a dog or cat is 57%. What is the
probability that the household own both a cat and a dog?
A 12%
B.17%
0.37%
D. 131%

Respuesta :

Answer:

B.  17%.

Step-by-step explanation:

The General Probability Addition Rule is

P(A∪B) = P(A) + P(B) − P(A∩B)   where P(A∪B) = P(A) or P(B)  and P(A∩B) = P(A) and P(B).

So applying this to our problem we have:

0.57 = 0.43 + 0.31 - P( household has a cat and a dog)

so the answer is 0.43 + 0.31 - 0.57

= 0.17 or 17%.

shubhamchouhanvrVT

The probability that the household own both a cat and a dog will be 17%.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The General Probability Addition Rule is

P(A∪B) = P(A) + P(B) − P(A∩B)   where P(A∪B) = P(A) or P(B)  and P(A∩B) = P(A) and P(B).

So applying this to our problem we have:

0.57 = 0.43 + 0.31 - P( household has a cat and a dog)

so the answer is 0.43 + 0.31 - 0.57

= 0.17 or 17%.

Hence the probability that the household own both a cat and a dog will be 17%.

To know more about probability follow

https://brainly.com/question/24756209

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